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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 103

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 103
tersection, or, which is the same thing,by the angle between two radii drawn to a point of intersec-tion, since a radius is perpendicular to the tangent at itsextremity. Two circles are said to cut orthogonally (or at rightangles) when a pair of radii drawn to a point of intersectioncontains a… … 111.] AND IN MODERN GEOMETRY. 75 From P any point outside the circle with centre 0, draw thetangent PA, and from the centre P at the distance PA describethe circle PAC, intersecting the other circle in A and C. JoinPO, OA. Because PA is a tangent to the circle ABC, therefore(III. 18) the angle PAO…

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